Solve 960div405=

$$960 \div 405=$$

Evaluate

$$\frac{64}{27}\approx 2.37037037$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 960

$$\begin{array}{l}\phantom{405)}\phantom{1}\\405\overline{)960}\\\end{array}$$

Since 9 is less than 405, use the next digit 6 from dividend 960 and add 0 to the quotient

$$\begin{array}{l}\phantom{405)}0\phantom{2}\\405\overline{)960}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 960

$$\begin{array}{l}\phantom{405)}0\phantom{3}\\405\overline{)960}\\\end{array}$$

Since 96 is less than 405, use the next digit 0 from dividend 960 and add 0 to the quotient

$$\begin{array}{l}\phantom{405)}00\phantom{4}\\405\overline{)960}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 960

$$\begin{array}{l}\phantom{405)}00\phantom{5}\\405\overline{)960}\\\end{array}$$

Find closest multiple of 405 to 960. We see that 2 \times 405 = 810 is the nearest. Now subtract 810 from 960 to get reminder 150. Add 2 to quotient.

$$\begin{array}{l}\phantom{405)}002\phantom{6}\\405\overline{)960}\\\phantom{405)}\underline{\phantom{}810\phantom{}}\\\phantom{405)}150\\\end{array}$$

Since 150 is less than 405, stop the division. The reminder is 150. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }150$$

Factor

$$\frac{2 ^ {6}}{3 ^ {3}} = 2\frac{10}{27} = 2.3703703703703702$$